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Finding the Fourth Proportional to 407.40, 561.22 and 282.82

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Solution

The fourth proportional to 407.40, 561.22 and 282.82 is: 389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 561.22 = 282.82 : x
  2. Step 2: Convert to fraction form
    407.40/561.22 = 282.82/x
  3. Step 3: Cross multiply
    407.40x = 561.22 × 282.82
  4. Step 4: Simplify right side
    407.40x = 158,724.24
  5. Step 5: Solve for x
    x = 158,724.24/407.40
  6. Step 6: Final answer
    x = 389.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.